101076573312 has 768 divisors, whose sum is σ = 368547379200. Its totient is φ = 26127360000.

The previous prime is 101076573307. The next prime is 101076573341. The reversal of 101076573312 is 213375670101.

101076573312 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 76 + 573 + 3 + 12 = 666.

101076573312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101076573312² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134588937 + ... + 134589687.

It is an arithmetic number, because the mean of its divisors is an integer number (479879400).

Almost surely, 2^101076573312 is an apocalyptic number.

101076573312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101076573312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184273689600).

101076573312 is an abundant number, since it is smaller than the sum of its proper divisors (267470805888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101076573312 is a wasteful number, since it uses less digits than its factorization.

101076573312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 101076573312 in words is "one hundred one billion, seventy-six million, five hundred seventy-three thousand, three hundred twelve".